Answer:
Step-by-step explanation:
There are several things we need to do/know to figure this out. First we have to know that the perpendicular slope to a line is the opposite reciprocal of the slope of which it is perpendicular (did that make sense?!). In other words, we have to find the slope of the line 5x - 8y + 24 = 0 and then take the opposite reciprocal of it. Solving for y:
with a slope of 5/8. The perpendicular slope, then, is -8/5. So we have m now in y = mx + b. Now onto the second equation...
The equation for which we need the same x-intercept is 7x - 12y - 70 = 0. The x-intercept exists when y = 0, so filling in a 0 for y:
7x - 12(0) = 70 and
x = 10. Now we know x. We also know, however, that when x = 10, y = 0, so we have everything we need to sub into the linear equation and solve for b:
0 = -8/5(10) + b and
0 = -16 + b so
b = 16 and the equation we are looking for is
y = -8/5x + 16
Answer: -3-5
/ 5
Step-by-step explanation
To write
as a fraction with a common denominator, multiply by 5/5.
-3/5 +
* 5/5
Then combine fractions, so that the numeratiors over the common denominator.
-3 + 5
/5
Simplify with factoring out.
Rewrite -3 as -1 (3). Next factor -1 out of 5
. Then facotr -1 out of -1(3) - (-5
). After that move teh negative in front of the fraction.
Exact Form: - 3-5
/ 5
Decimal Form: 1.13
Answer:
6=1/3(-3)-5
Step-by-step explanation:
(x, y)= (-3,6)
Plug x into 1/3x
Plug 6 into y
6=1/3(-3)-5
Answer:
N688.97
Step-by-step explanation:
Percentage profit = [Selling price - Cost price/Cost price ]× 100
Percentage profit = 15%
Cost price = x = ??
Selling price = N690
Hence:
15% = (690 - x /x)× 100
0.15 = 100(690 - x)/x
Cross Multiply
0.15x = 69000 - 100x
Collect like terms
0.15x + 100x = 69000
100.15x = 69000
x = 69000/100.15
x = 688.96655017.
Approximately = 688.97
Therefore, the Cost price of the drone = x = N688.97
Answer:
It would be 4:6
Step-by-step explanation:
2*2=4
3*2=6
they both multiply by 2
hopefully that makes sense.